2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/159021We show that the permanent of an $n \times n$ matrix with iid Bernoulli entries $\pm 1$ is of magnitude $n^{({1/2}+o(1))n}$ with probability $1-o(1)$. In particular, it is almost surely non-zero.CombinatoricsProbability05D40, 15A15, 15A52text